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Jefferson Circulation Obsolescence - Updated With Top 10!

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nickelsearcher's Avatar
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 Posted 01/16/2010  1:34 pm Show Profile   Bookmark this topic Add nickelsearcher to your friends list Get a Link to this Message Number of Subscribers
Fair warning ...... this is a mathematical post.

As discussed in CND's nickel thread ...... I keep track of my roll searches and have developed some statistical measures of my finds.

One of the more interesting (to me at least) measures is what I call "Circulation Obsolescence".

Simply put ....... what percentage of the original mintage has disappeared from circulation for any reason. The reasons are many .... hoarding, collected, melted, lost on the beach, whatever.

When I speak to people live about this I use the following analogy ..... In the year 1937 you could walk into any bank and purchase any roll of nickels and be GUARANTEED it will be fully 100% Buffalo's with a few V's thrown in. The reason you can not do that today is Circulation Obsolescence.

It is not difficult to measure if you have a large enough data base. I've just passed through 140,000 nickels searched ..... a reasonable data base size ..... and the accuracy of my estimates will improve with more evidence.

Sooooo ... all that said ...... consider the following ...

The total mintage of the entire Jefferson series (1938 through 2009) is 52,269.7 million coins.

The total mintage of the coins I search for (Jefferson's 1938 through 1959) is 3,524.4 million.

Do a simple division of 3524.4/52,269.7 and you can see that 'early pre-1960 Jefferson's account for 6.743% of the total Jefferson's ever minted.

Sooooooo .... if they were all still in circulation (no obsolescence) I should be finding them at that rate during my roll searches.

However ..... I find them at a rate of 1.255% instead ...... which means that there is an overall 81.4% Circulation Obsolescence Loss.

If that makes sense the rest is easy .....

In addition to looking at the overall 'big picture', I sub-divide the years 1938 through 1959 into smaller groupings and follow the same logic as stated above ........ the ratio of total mintage for that period divided by overall mintage gives the 'expected no-loss find rate' ...... compare this to my actual find rates and ... voila ..... Circulation Obsolescence for that period.

To that end ..... here are my calculated Jefferson nickel Circulation Obsolescence rates for the various time periods I chose:

1930's @ 83.0%
Pre-War 1940's @ 82.2%
War Silver @ 98.2%
Post-War 1940's @ 77.8%
Early 1950's @ 73.6%
Late 1950's @ 68.9%


Once you have these figures in hand ..... then you can play games with 'what if' type of questions. For example:

What is the estimate of the number of War Silver Jefferson's still in circulation today?

Well .... we can answer that (it might surprise you) ....

Obsolesence data says that 98.2% have been 'lost' ...... which means that 1.8% still exist in circulation.

The total mintage of War Silver Jefferson's was a staggering 870 million (they alone account for nearly 25% of the total mintage 1938 through 1959) ...

Soooo .... 1.8% of 870 million is .... 15,660,000 War Silvers still out there to be found!

Keep that in mind the next time you get discouraged about not finding any for awhile.

Enjoy

David

Take a look at my other hobby ... http://www.jk-dk.art
Edited by nickelsearcher
01/17/2010 1:23 pm
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jgfindring's Avatar
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 Posted 01/16/2010  1:44 pm  Show Profile   Bookmark this reply Add jgfindring to your friends list Get a Link to this Reply
Impressive figures, and thanks for all of your work. Jeffersons really seem to be the most able to still be found in circulation.
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algol's Avatar
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 Posted 01/16/2010  1:57 pm  Show Profile   Bookmark this reply Add algol to your friends list Get a Link to this Reply
Very informative, thanks for posting. It will be interesting to see your numbers again once you get to 200k or 350k etc. nickels searched.
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hockingzig's Avatar
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 Posted 01/16/2010  2:15 pm  Show Profile   Bookmark this reply Add hockingzig to your friends list Get a Link to this Reply
Out of curiosity, how often do you recalculate these numbers and, as your database increases are you seeing the numbers remain stable? These numbers are interesting.
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cladking's Avatar
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 Posted 01/17/2010  01:39 am  Show Profile   Bookmark this reply Add cladking to your friends list Get a Link to this Reply
Very interesting.

I'm rather surprised that the attrition of the late 50's coins isn't a lot lower and the older ones a little higher. It seems most of these coins don't circulate because they are removed by collectors but they eventually get respent since the market is so thin.

Time don't fly, it bounds and leaps.
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AndrewC's Avatar
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 Posted 01/17/2010  08:36 am  Show Profile   Bookmark this reply Add AndrewC to your friends list Get a Link to this Reply
Thanks for this. Just what I was looking for!
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 Posted 01/17/2010  10:53 am  Show Profile   Bookmark this reply Add RollHunter to your friends list Get a Link to this Reply
Do you track the mint marks too? I'd be curious to know how long it takes the mm's to even out and if you're seeing them in correct ratios.
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nickelsearcher's Avatar
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 Posted 01/17/2010  1:11 pm  Show Profile   Bookmark this reply Add nickelsearcher to your friends list Get a Link to this Reply

Quote:
how often do you recalculate these numbers


I track my Jefferson roll searches in an Excel spreadsheet .... and this obsolescence calculations (as well as other data stuff) is done automatically by the spreadsheet every time I update it ...... which is usually every 10 rolls searched.


Quote:
as your database increases are you seeing the numbers remain stable?


It's getting there .... for example ..... at 80,000 coins the 'overall' 38-59 Circulation Obsolesence was 81.5%. At 140,000 coins it is now 81.4%.


Quote:
Do you track the mint marks too?


Yes ..... I track the Jefferson circulation strikes 1938 through 1959 by individual coin ... and can report on actual versus expected find rates by each coin and mint.

Sooooo ... those questions answered ..... a little more discusssion about the 'predictive' power of this tool to estimate the liklehood of finding Jefferson's in circulation today ...

The original goal I had in mind was to be able to 'predict' the expected rate at which the various Jefferson's could be found in circulation today ...... and to a large degree this tool is quite accurate at this task.

For those truly interested ..... I must digress for a minute and be sure you are clear about the 'rate statistics' I am using .....

When I speak about 'actual' find rates ..... I am referring to fact numbers proven by actually finding so many coins in so many rolls. Soooo ... if I say I find a 1954-D at a rate of 1 coin every 1,483 searched ..... those are actual rates proven by my searches.

When I speak about 'predicted' find rates ...... I am referring to the long-term average that you would eventually arrive at if you searched for a long time ...... not to be confused with a hard-and-fast interval between finds.

Let's be very clear about that ...... a coin with a 'predicted' find rate of 1 coin every 10,000 searched DOES NOT mean that it will show up on the dot every 10,000 coins ...... it means that if you searched A LOT of coins (say 1,000,000) ... then it will on average show up once every 10,000.

Soooooo ....

As an example of the predictive power of this tool ..... here are some 'predicted' versus 'actual' rates direct from my database ... I'll choose 1 coin from each 'time period':

1939-P; Predicted @ 2,481; Actual @ 2,158
1941-D; Predicted @ 5,469; Actual @ 5,696
1943-P; Predicted @ 10,624; Actual @ 11,867
1949-P; Predicted @ 3,921; Actual @ 3,849
1953-S; Predicted @ 10,268; Actual @ 12,945
1955-D; Predicted @ 2,252; Actual @ 2,967

As impressive as that may seem .... and the tool delivers comparable accuracy amongst all the Jefferson's ..... I have one true flaw in the tool that I have not yet resolved ....

It does not account for hoarding!

The underlying assumption is that all the coins minted were actually released into circulation, and then natural forces allowed to be retired over time ...... and this is not the case all the time.

The most obvious example is the 1950-D Jefferson with a mintage of 2.6 million ..... an unknown number of which were (and still are) hoarded from day 1.

My tool predicts a 50-D find rate of 1 every 70,406 coins searched ..... which as any dedicated roll searcher will tell you is ... uhhhmmm .... optimistic.

I could 'correct' that by adjusting the mintage figures to an estimate of the actual number released into circulation ..... but have no clue what that number should be.

Anyways ..... to close this off ....

Notwithstanding the 'hoarding' problem ..... the Top-10 Most Difficult Jefferson's to find today in circulation .... and their 'predicted' find rates are as follows ..... drum roll?

43-D @ 188,308
44-S @ 133,385
44-D @ 89,199
42-S @ 87,572
39-D @ 85,494
45-D @ 71,449
38-S @ 72,982
50-D @ 70,406
38-D @ 55,412
45-S @ 48,915

Should not be a surprise that the Denver War Silver populate this list ...... if CND was reading this ... at 14,000 rolls searched for him ...... I am willing to bet that he has found most likely 3 total 1943-D; for sure two and no more than four!

Finally ..... here is a fun question to answer ....

If I search a box of nickels a week, how long should it take me to complete the circulation strike set 1938 through 1959?

Well ... you gotta bag that 43-D @ 1 every 188,308 ..... so it would take you 188,308/2,000 .... which is 94 weeks (on average, remember)!

Go search some nickels!

Enjoy

David




Take a look at my other hobby ... http://www.jk-dk.art
Edited by nickelsearcher
01/17/2010 1:14 pm
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Kabiye_Lady's Avatar
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 Posted 01/17/2010  1:58 pm  Show Profile   Bookmark this reply Add Kabiye_Lady to your friends list Get a Link to this Reply
Hmnm Interesting.

Well, I think one thing we can determine from your findings is that Jefferson nickels are not hoarded.

If you can take mintage figures and get essentially expected results (except for a few exceptions), that means there has been no "ripples" or other variations - mintages can be used to determine chance of finding a coin from year 19xx.

Now what if you were to do exactly the same mathematic calculations with the Roosevelt dime series? Your calculations would be way, way off for all pre-1965 roosies because they were hoarded and melted down. In addition, there are several dates where roll-hoarding was done at the time of their release.

So, in short, no one is hoarding Jeffersons if your calculations are reasonably accurate - as they appear to be.
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hockingzig's Avatar
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 Posted 01/17/2010  2:07 pm  Show Profile   Bookmark this reply Add hockingzig to your friends list Get a Link to this Reply
Excellent synopsis and excellent data.So,with 53 weeks in at a box a week that leaves me 39 more weeks to complete my set,about the time I retire! Then I can do 2 boxes a week and should have my second set in a years time. Thanks for your info,it does give us all hope of finishing in this lifetime if we persevere and work hard.
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AndrewC's Avatar
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 Posted 01/17/2010  2:56 pm  Show Profile   Bookmark this reply Add AndrewC to your friends list Get a Link to this Reply
I saw this thread this morning and plugged the obsolescence numbers and the actual mintages into my own spreadsheet. When I showed it to my son, he was excited to notice that he already had the '43-D (he found it on Thursday).
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 Posted 01/17/2010  9:07 pm  Show Profile   Bookmark this reply Add John Paul to your friends list Get a Link to this Reply
This is a very interesting post,thanks for making it. A few of things come to mind:

1) If you were searching somewhere else - West coast, mid-west, Hawaii etc. do you think you would get the same results? I would guess that the pre-1960 nickels are well mixed by now, but I have no data to show it.

2) Do you think there are some atypical boxes floating around with lots of old nickels? In you read the JFK roll hunting thread, occasionally someone will find a great box of halves with lots of silver coins it it. Any chance there are old nickel boxes as well?

3) Any estimate on how many pre-Jefferson nickels are left?
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nickelsearcher's Avatar
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 Posted 01/17/2010  10:08 pm  Show Profile   Bookmark this reply Add nickelsearcher to your friends list Get a Link to this Reply
For AndrewC son .....


Quote:
he was excited to notice that he already had the '43-D


Congrats to him ..... He has bagged what my data says is the hardest to find circulation strike Jefferson!

For me .... after 142,400 coins searched .... still need three coins to complete my humble Whitman 9009 ..... 38-s, 43-d and 44-d.

You should recognize these on the Top-10 List above.

For John Paul .....


Quote:
If you were searching somewhere else - West coast, mid-west, Hawaii etc. do you think you would get the same results?


I have to think the results are not dependent on location ..... we are talking about coins over 50 years old to even enter the data base ..... in that amount of time I have to assume that geographic differences have been evened out.


Quote:
Any estimate on how many pre-Jefferson nickels are left?


Ask me that again when I have searched more coins ..... so far ..... I have 19 Buffalo and 2 Liberty ...... these are too small a sample to answer your question .....

Hope this thread is helping some of you out there.

David
Take a look at my other hobby ... http://www.jk-dk.art
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mdh157's Avatar
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 Posted 01/17/2010  10:13 pm  Show Profile   Bookmark this reply Add mdh157 to your friends list Get a Link to this Reply
John Paul: There are absolutely atypical boxes around....I had a box 3 weeks ago that had 2 rolls of oldies - 1 had a 56-p and the rest were 40's with 1 39-p in it, and another roll was nothing but 50's coins, all common.
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Gothic Florin's Avatar
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 Posted 01/17/2010  11:40 pm  Show Profile   Bookmark this reply Add Gothic Florin to your friends list Get a Link to this Reply
Nickelsearcher:

Thank you for this interesting update. Not surprisingly, all the nickels I need are on your 'top 10 most difficult to find'. I was considering doing something similar to this but you have done a far more thorough job than I could!
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eaglefoot's Avatar
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 Posted 01/18/2010  08:56 am  Show Profile   Bookmark this reply Add eaglefoot to your friends list Get a Link to this Reply
I've always said Obsessive Compulsive Disorders are not a bad thing, as long as it doesn't interfere with basic life functions.




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